SSC CHSL Previous Paper 7 (Held On: 6 March 2018 Shift 2) (Previous Year Paper)

The correct answer is Impoverish

Key Points

• The correctly spelt word is 'impoverish' which means 'make (a person or area) poor'.
• Example: Poor farming practices impoverished the soil.

Additional Information

• Synonyms of Impoverish: pauperize, reduce, wipe out
• Antonyms of Impoverish: enrich, richen

The correct answer is CBA

Key Points

C is the first part as it states what the person decided.

B follows C as it states where he wanted to go.

A completes the sentence. Option 1 is thus the correct answer.

Thus the sentence becomes: So he decided he would go far away, to a better place with fewer people, hopefully, none.

The correct answer is cooking

Key Points

The word that fits here is the participle 'cooking'. The other words are incorrect here. Option 2 is the correct answer.

The correct answer is Have occurred

Key Points

• The subject and the verb must agree with each other in a sentence.
• Here the subject 'Humongous changes' is plural, so plural verb should be used after it.
• The present perfect tense refers to an action or state that either occurred at an indefinite time in the past (e.g., we have talked before) or began in the past and continued to the present time (e.g., he has grown impatient over the last hour). This tense is formed by have/has + the past participle.

Thus the correct sentence is: Humongous changes have occurred in the last two decades.

The correct answer is eulogize

Key Points

• The meanings of the words are:
• Chide: rebuke
  

Example: My wife chided me for forgetting to offer our guests some refreshments.

• Eulogize: praise highly in speech or writing
  

Example: We eulogize athletes for the sacrifice they have endured in pursuit of a gold medal.

• Chastise: rebuke or reprimand severely.
  

Example: The Securities Commission chastised the firm but imposed no fine.

• Reprimand: rebuke
  

Example: He was reprimanded by a teacher for talking in the corridor.

• Thus, eulogize is the correct answer.

The correct answer is Deliquesce

Key Points

• The meanings of the words are:
• Deliquesce: become liquid, typically during decomposition.
  

Example: One or two of these mushrooms are deliquescing already.

• Petrify: become solid
  

Example: The dead tree petrified into stone.

• Cohere: form a unified whole.
  

Example: The various elements of the novel fail to cohere.

• Anneal: heat (metal or glass) and allow it to cool slowly, in order to remove internal stresses and toughen it.
• Thus, the correct answer is Deliquesce

Hinglish

• 1. Deliquesce - गलना, पिघलना
• 2. Petrify - पत्थर बनाना, जमाना
• 3. Cohere - जुड़ना, चिपकना
• 4. Anneal - तपाना, कड़ा करना

The correct answer is Make someone very irritated or angry

Key Points

• If you say that something or someone is driving you up the wall, you are emphasizing that they annoy and irritate you.
• Example: The heat is driving me up the wall.
• Thus option 4 is the correct answer.

The correct answer is Act in a way that is likely to incur problems or difficulties.

Key Points

• Ask for trouble: To do something or act in a manner that will very likely result in trouble, difficulty, or danger.
• Example: Those kids were just asking for trouble when they went trespassing on my property, and now trouble is what they'll get!

The correct answer is familiar

Key Points

• The correct word here is an adjective thus 'familiar' fits here. 'Familiar' means 'well known from long or close association.' Option 1 is the correct answer.
• 'enough' is an adverb.
• Familiarly is an adverb.
• Familiarness is a noun.
• Familiarity is a noun.

The correct answer is which

Key Points

• when is used to refer at what time; at the time at which
• which is used to refer back to an idea or situation expressed in a previous sentence or sentences, especially when you want to give your opinion about it.
• While is used to refer during the time that, or at the same time as
• who is used as the subject or object of a verb to show which person you are referring to, or to add information about a person just mentioned. It is used for people, not things
• Since the sentence talks about an inanimate thing the word 'which' fits here correctly. Option 2 is the correct answer. The other words do not convey any meaning.

The correct answer is about

Key Points

• Only the preposition 'about' fits here as it conveys the meaning regarding what should be understood by the teacher. Option 1 is thus the correct answer. The other prepositions do not fit here.
• Understand about: an agreement of opinion or feeling
  

Example: We've come to an understanding about how to proceed.

The correct answer is for

Key Points

• For instance: for or as an example
• Example: Give me a for-instance of what you mean
• Thus option 4 is the correct answer. The other prepositions do not fit here.

The correct answer is refers

Key Points

• A singular subject requires a singular verb. Here 'technical skill' is a singular subject.
• The correct form of the verb is simple present tense as the sentence defines what technical skill is.
• 'Refer' is plural which does not fit here grammatically.
• 'Reference' is a noun that does not fit here grammatically.
• 'Referred' is a verb in past tense that does not fit here grammatically.
• Thus option 1 is the correct answer.

The correct answer is Colleague

Key Points

• The correctly spelt word is 'colleague' which means 'a person with whom one works in a profession or business.' Option 3 is thus the correct answer.
• Example: Without consulting his colleagues he flew from Lisbon to Split.
• Synonyms: associate, coworker

The correct answer is He said that the dog had died in the night.

Key Points

• While changing the narration of an assertive sentence, we need to follow the given steps:
• The reporting verb said is not changed into told because any object is not present here.
• Since the reported speech is in past indefinite tense (died) so, it will be changed into past perfect tense (had died).
• The conjunction 'that' is used in place of commas and inverted commas.

CHANGE OF TENSE:

Eventually, we will get the final sentence- He said that the dog had died in the night.

The correct answer is Why was such a book written by your mother?

Key Points

• The following rule should be followed while changing the voice of an 'assertive sentence' in the simple past tense.
• subject + V2 + object (Active)
• object + was/were + V3 + by + subject (Passive)
• For interrogative sentence 'did + V₁' changes to 'was/were + V₃'
• ​Example: The school management organised the annual function. (Active)

The annual function was organised by the school management. (Passive)

• 'such a book' becomes the subject and 'your mother' becomes the object.
• 'by' is used before the object.
• The final sentence- Why was such a book written by your mother?

The correct answer is QPR

Key Points

• We need an object after a preposition( that can be a noun or a pronoun), Only Q starts with a noun. So Q should be first in sequence.
• P starts with a modal verb and ends with 'traced back to', so P can not end any sentence. Thus, P will be the next in sequence.
• R completes the given sentence.
• Thus, the sentence becomes: The existence of mammals on the earth can be traced back to at least the Triassic time.

The correct answer is hellish

Key Points

• Meaning of the words given are:
• Celestial: of or from the sky or outside this world
  

Example: The moon is a celestial body.

• Heavenly: giving great pleasure
  

Example: It was a good party and the food was heavenly.

• Blessed: made holy; consecrated.
  

Example: a blessed day/life

• Hellish: very bad or unpleasant
  

Example: a hellish experience

• Holy: related to a religion or a god
  

Example: Jerusalem is a holy city for Christians, Muslims, and Jews.

• Thus, hellish is the word having the opposite meaning.

The correct answer is Pleasant

Key Points

• The word 'grumpy' means 'ill-tempered or irritable.'
• Pleasant means having qualities that tend to give pleasure
• Cross means a structure consisting of an upright with a transverse beam used especially by the ancient Romans for execution
• Diseased means affected with or as if with a disease: lacking health or soundness
• Irritable means capable of being irritated
• Hence, option 4 is the correct answer.

The correct answer is Relieve

Key Points

• Meaning of the words given are:
• The word 'allay' means 'diminish or put at rest (fear, suspicion, or worry).'
  

Example: The government is trying to allay public fears/concern about the spread of the disease.

• Relieve means to make an unpleasant feeling, such as pain or worry, less strong
  

Example: She relieved her boredom at home by learning how to type

• Understand means to know the meaning of something that someone says
  

Example: She explained the whole idea again, but I still didn't understand.

• Increase means to (make something) become larger in amount or size
  

Example: Incidents of armed robbery have increased over the last few years.

• Annoy: to make someone angry
  

Example: Tina really annoyed me in the meeting this morning.

• Thus 'relieve' is the correct answer.

The correct answer is envious

Key Points

• The meanings of the words are:
• Grudging: unwilling; disinclined
  

Example: She won the grudging respect of her boss.

• Envious: jealous; disinclined
  

Example: I'm very envious of your new coat - it's beautiful.

• Favoring: supporting
  

Example: These are the running shoes favoured by marathon runners.

• Generous: kind
  

Example: It was generous of you to lend me the money.

• Contented: to say that something is true or is a fact
  

Example: The lawyer contended (that) her client had never been near the scene of the crime.

• Thus, the correct answer is envious

The correct answer is seek

Key Points

• Meaning of the words given in the option are:
• The only word that fits here is 'seek' which means 'search.' 
  

Example: Hundreds of dissidents are seeking refuge/asylum in the US embassy.

• Bleak: lacking vegetation and exposed to elements.
  

Example: a bleak landscape

• Meek: quiet, gentle, and easily imposed on; submissive
  

Example: She seemed so very meek and mild

• Geek: an unfashionable or socially inept person.
• Thus, 'seek' is the only word that fits here as we are searching for 'peace' in this ever-growing world.

The correct answer is Inform

Key Points

• The word 'obligated' means 'require or compel (someone) to undertake a legal or moral duty'.
• Meaning of the words given are:
• Cry: to produce tears as the result of a strong emotion, such as unhappiness or pain
• Decide: to choose something, especially after thinking carefully about several possibilities
• Give: to offer something to someone, or to provide someone with something
• inform: to tell someone about particular facts
• Thus 'inform' fits here and conveys a proper meaning. The other words do not fit here logically or grammatically. Option 4 is the correct answer.

The correct answer is 3

Key Points

• The error lies in part 3 of the sentence as the verb 'drive' in transitive form is incorrect here and the correct form of the verb must be in 'ing' form 'driving' as 'for' is mentioned in the sentence.
• Prepositions are followed by a noun or a pronoun as an object of preposition.
• A gerund is a verb form that acts as a noun, so 'driving' is the correct word to be used here.

Thus, the correct sentence is: The long-term capital gains on listed securities and the dividend tax on equity mutual funds are the right steps to generate resources required for driving demand in rural India.

The correct answer is 1

Key Points

• 'see' should be there in place of 'seen'
• We use the simple present tense when an action is happening right now
• The error lies in part 1 of the sentence as the verb 'seen' is incorrect and must be in simple present 'see' to make the sentence correct. The whole sentence is in simple present tense.

Thus, the correct sentence is: I see that it is getting dark

The Logic followed here is:-

Seconds is the unit of time.

Checking option one by one in the table shown below for the similar word pair:-

As we can see clearly from the table above that the word pair Ohm : Resistance is the similar word pair as it follows the logic.

Hence, the correct answer is "Ohm : Resistance"

The pattern followed here is:

11 + 5 = 16;

Similarly,

13 + 5 = 18.

Hence, the correct answer is ’13 : 18’.

The table shows the place value of the alphabet from A to Z and Z to A.

The pattern followed here is,

AUR : CXV →

Checking Options:

1) RFT : SGU → Not follows

2) GEM : IHQ → follows

3) HSO : GRN → Not follows

4) KGA : NIE → Not follows

Hence, the correct answer is ‘GEM : IHQ’.

All other responses, except ‘fish’ lives on land.

Fish lives in water.

Hence, the correct answer is ‘fish’.

The logic followed here is:

Logic: First Number : First number +2

1) 31 - 33 = 31 : 31 + 2

2) 33 - 35 = 33 : 33 + 2

3) 37 - 39 = 37 : 37 + 2

4) 35 - 39 ≠  35 : 35 + 4

Hence, the correct answer is ’35 – 39’.

The table shows the place value of the alphabet from A to Z and Z to A.

The pattern followed here is:

1. IR → I (reverse) R

2. LO → L (reverse) O

3. EV → E (reverse) V

4. AY → A (reverse) Z ≠ Y

Hence, the correct answer is ‘AY’.

As per the dictionary order;

2. Omission
3. Omit
4. Only
5. Onset
6. Opaque

Hence, the correct answer is ‘25341’.

The pattern followed here is:

Hence, the correct answer is ‘24’.

Alternate Method The pattern followed here is:

The pattern followed here is:

Hence, the correct answer is ‘E’.

Let weight of M be x.

Weight of C is twice the weight of M → C = 2x

Weight of M is 1/9 of the weight of R → M = 1/9 R → R = 9x

Weight of R is 5/2 of the weight of K → 9x = 5/2K → K = 3.6x

Weight of K is 1/3 of the weight of G → K = 1/3G → 3.6x = 1/3G → G = 10.8x

Final solution is:

G > R > K > C > M

‘C’ is the 2^nd lightest.

Hence, the correct answer is "C".

1. Ran: ‘TRANSACTION’ → The word can be formed.

2. Action: ‘TRANSACTION’ → The word can be formed.

3. Train: ‘TRANSACTION’ → The word can be formed.

4. Role: As ‘L’ is not there in the given word, hence it cannot be formed.

Hence, the correct answer is ‘Role’.

The pattern followed here is:

MAKER → PDNHU

Similarly,

TOOLS → WRROV

Hence, the correct answer is ‘WRROV’.

Given equation: 5 - 6 + 30 × 8 ÷ 16 = ?

On replacing the symbol: 5 × 6 ÷ 30 - 8  + 16 

By using Bodmas rule:

5 × 6 ÷ 30 - 8 + 16 

= 1 - 8 + 16

= 17 - 8

= 9

Hence, the correct answer is ‘9’.

Given equation: 18 + 26 - 25 × 10 ÷ 5 = 42

1) - and +

After interchanging ‘- and +’ we get:

18 - 26 + 25 × 10 ÷ 5 = 42

L.H.S of equation: 18 - 26 + 25 × 10 ÷ 5

= 18 – 26 + 25 × 2

= 18 – 26 + 50

= 68 - 26

→ 42 = R.H.S

2) ÷ and × 

After interchanging ‘÷ and × ’ we get:

18 + 26 - 25 ÷ 10 × 5 = 42 

L.H.S of equation: 18 + 26 - 25 ÷ 10 × 5

= 18 + 26 - 25 ÷ 10 × 5

= 18 + 26 - 2.5 × 5

→ 18 + 26 - 12.5  ≠ RHS

3) × and -

After interchanging ‘× and - ’ we get:

18 + 26 × 25 - 10 ÷ 5 = 42

L.H.S of equation: 18 + 26 × 25 - 10 ÷ 5

= 18 + 26 × 25 - 10 ÷ 5

= 18 + 26 × 25 - 2

→ 18 + 650 - 2 ≠ RHS

4) ÷ and -

After interchanging ‘÷ and -’ we get:

18 + 26 ÷ 25 × 10 - 5 = 42

L.H.S of equation: 18 + 26 ÷ 25 × 10 - 5 

→ 18 + 26 ÷ 25 × 10 - 5 ≠ RHS

Hence, the correct answer  is ‘- and +’.

The pattern followed here is:

Multiply the given number simply along with their symbol as we do in maths and then change - into + and vice versa in the final result.

1 ∆ - 5 = 5

→ (1 × -5)

= - 5 , change - into +

= 5

4 ∆ 7 = - 28

→ (4 × 7) = 28 , change + into -

= - 28

-1 ∆ - 3 = -3

→ [-1 × (-3)] = 3, change + into -

= - 3

Similarly,

8 ∆ - 8

→ (8 × -8) = - 64, change - into +

= 64

Hence, the correct answer is ‘64’.

Hence, the correct answer is ‘YZXYXYXYX’.

As per the given information,

1) Player A runs 20 m South, then turns to his left and runs 26 m

2) Player B runs 12 m West, then he runs 6 m South, then he turns to his left and runs 38 m.

Starting point same so we combining above two diagrams, we get

Hence, the correct answer is ’14 m South’.

The least possible Venn diagram for the given statements is as shown below :-

Conclusion I: No coins are currency → Doesn't follow (As, some notes are coins and All notes are currency)

Conclusion II: Some currency are coins → Follows (As, some notes are coins and All notes are currency)

Hence, the correct answer is ‘only conclusion II follows’.

The shaded part represents fashion designers who are Lyricists

Hence, the correct answer is ‘FE’.

The pattern followed here is:

Hence, the correct answer is ‘UKN’.

The pattern followed here is:

Hence, the correct answer is ‘445’.

The pattern followed here is:

1. (104, 101, 96) → (104, 104 – 3, 101 – 5)

2. (109, 106, 101) → (109, 109 – 3, 106 – 5)

3. (97, 94, 89) → (97, 97 – 3, 94 – 5)

4. (121, 118, 111) → (121, 121 – 3, 118 – 5 = 113 ≠ 111)

As, ‘(121, 118, 111)’ does not follow the logic and thus it is the odd one out.

Hence, the correct answer is "(121, 118, 111)".

The mirror image of the given image when the mirror is placed at MN is shown below,

Hence, the correct answer is "Option 4".

Additional Information

• The mirror always forms the laterally inverted images, i.e. left changes to right and vice versa.
• The reflection of an object in the water is called its water image.
• The water image of an object in the water is always vertically inverted, i.e. Upside changes to down and vice versa.
• The water image is the mirror image in case the mirror is placed horizontally below the object.

The construction of the possible cube from the unfolded cube is shown below,

The final cube will be,

Hence, the correct answer is "Option 3".

1. 42, 56, 11, 85 → B, P, A, N

2. 22, 68, 22, 57 → J, V, J, Y

3. 43, 67, 55, 34 → I, O, T, A

4. 23, 76, 14, 95 → E, Z, A, X

Hence, the correct answer is ‘43, 67, 55, 34’.

Let the number of cargo containers in the ship at the starting be x

Cargo after the first port = {x - (2x/3)} + 60 = (x/3) + 60

Cargo after the second port = {(x/3) + 60} - [(2/3) × {(x/3) + 60}] + 11 = (x/9) + 31

Cargo at the third point = (x/9) + 31

According to the question,

⇒ (x/9) + 31 = 48

⇒ x/9 = 17

⇒ x = 153

∴ There were 153 cargo container in the ship at the starting

Let three numbers be a, b and c

Now, b = 3a

⇒ a = b/3          ----(1)

And, b = 2c

⇒ c = b/2          ----(2)

Now,

Sum of three numbers = 55

⇒ a + b + c = 55

⇒ (b/3) + b + (b/2) = 55

⇒ 11b/6 = 55

⇒ b = 30

So, a = b/3 = 30/3 = 10

And, c = b/2 = 30/2 = 15

∴ Largest number is 30

Shortcut TrickIt is given in the question that the second number is three times the first number and twice the third number. It means it will be divisible by both 3 and 2. Hence our answer should be divisible with 6. Only 30 from the given numbers is divisible by 6.

∴ The largest number is 30.

Let two number be 5x and 4x

According to the question,

⇒ (5x)³ - (4x)³ = 61

⇒ 125x³ - 64x³ = 61

⇒ 61x³ = 61

⇒x³ = 1

⇒ x = 1

∴ Largest number = 5x = 5 × 1 = 5

$\sqrt[3]{{{3^x}}} = 27$

Cubing both sides,

⇒ 3^x = 27³

⇒ 3^x = (3³)³

⇒ 3^x = 3⁹

On comparing both sides,

∴ x = 9

Calculation:

As the length of two tangents drawn from an external point to a circle is equal

⇒ AD = AF

⇒ BD = BE

⇒ FC = CE

∴ All options are correct

As, largest chord of the circle is the diameter

Diameter of the circle = 10cm

So, Radius (OA) = diameter/2 = 10/2 = 5 cm

⇒ OB = 13 cm

Now, triangle OAB is a right angled triangle as tangent from any point of a circle is perpendicular to the radius at the point of contact so, by Pythagoras theorem,

⇒ OA² + AB² = OB²

⇒ 5² + AB² = 13²

⇒ 169 - 25 = AB²

⇒ AB = √144 = 12 cm

∴ Length of tangent is 12 cm

Given,

C = 1200

And, D = 1500

∴ Required % = {(1500 - 1200)/1200} × 100 = 25%

Let three number be 5x, 6x and 8x

Sum of numbers = 5x + 6x + 8x = 19x

According to the question,

⇒ 19x = 380

⇒ x = 20

∴ Smallest number of the three number = 5x = 5 × 20 = 100

Given, Husk in 20 kg of mixture = 5% of 20 = 1 kg

Let x kg husk is been added

According to the question,

⇒ 1 + x = 20% of (20 + x)

⇒ 1 + x = (1/5) × (20 + x)

⇒ 5 + 5x = 20 + x

⇒ 4x = 15

⇒ x = 15/4 = 3.75

∴ 3.75 kg of husk must be added.

Shortcut Trick

In the question, if the mixture increases the percentage base of any part, then calculate the percentage of the constant part of the mixture.   

[ constant wheat = constant wheat ]

⇒ 20 × (95/100) = (20 + x)  × (80/100)  

⇒ x = 15/4 = 3.75

First 11 multiples of 11 are 11, 22, 33… 121

⇒ Sum of all multiples = 11 + 22 + 33 + ... + 121 = 11(1 + 2 + 3 + … + 11) = 11 × 66 = 726

∴ Average = 726/11 = 66

Alternate MethodIf the number of observations is odd and the observations are in successive manner.

The average = [(n+1)/2]th observation

= (11+1)/2^th observation

= 6th observation = 6 × 11 = 66

∴ The average is 66.

Let principle for first part be x

So, Principle for second part = 15200 - x

Simple interest on first part = (x × 25 × 1)/100 = 0.25x

Simple interest on second part = {(15200 - x) × 13 × 1)/100 = 1976 - 0.13x

According to the question,

⇒ 0.25x = 1976 - 0.13x

⇒ 0.38x = 1976

⇒ x = 5200

∴ Simple interest = 0.25x = 0.25 × 5200 = Rs.1300

Let cost price be Rs. x

Selling price = Rs. 27692

Loss % = {(CP - SP)/CP} × 100

⇒ 14 = {(x - 27692)/x} × 100

⇒ 14x = 100x - 2769200

⇒ 86x = 2769200

⇒ x = 32200

Cost price = Rs. 32200

Selling price = Rs. 37352

∴ Profit % = {(SP - CP)/CP} × 100 = {(37352 - 32200)/32200} × 100 = 16%

Let the cost price be Rs. x

Marked price = Rs. 9800

Discount % = 20%

Thus, Selling price = MP - discount% on MP = 9800 - 20% of 9800 = 9800 - 1960 = 7840

⇒ Profit % = {(SP - CP)/CP} × 100 = {(7890 - x)/x} × 100

According to the question,

⇒ 12 = {(7840 - x)/x} × 100

⇒ 12x = 784000 - 100x

⇒ 112x = 784000

⇒ x = 7000

∴ Cost price is Rs. 7000

Alternate MethodC.P : S.P : M.P = (100 - D%) : 100 : (100 + P%)

⇒ (100 - 20) : 100 : (100 + 12)

⇒  80 : 100 : 112

⇒  20 : 25 : 28

M.P = 9800

28 units = 9800

1 unit = 350

C.P = 2 × 350 = Rs. 7000

∴ Cost price is Rs. 7000

⇒ $∴ \sqrt {361} + \sqrt {3.61} + \sqrt {0.0361}$  

⇒ $\sqrt {{{19}^2}} + \sqrt {{{\left( {\frac{{19}}{{10}}} \right)}^2}} + \sqrt {{{\left( {\frac{{19}}{{100}}} \right)}^2}}$ 

⇒ 19 + 1.9 + .19 = 21.09 

∴ The required answer is 21.09.

Given:

Time taken by Raja and Kundan to built the wall = 20 days

Time taken by Kundan and Mahesh to built the wall = 30 days

Time taken by Mahesh and Raja to built the wall = 24 days

Calculation:

Work done by Raja and kundan in one day = (1/R) + (1/K) = 1/20

Work done by Mahesh and kundan in one day = (1/M) + (1/K) = 1/30

Work done by Raja and Mahesh in one day = (1/R) + (1/M) = 1/24

Adding the above three equations we get,

⇒ 2{(1/R) + (1/K) + (1/M)} = [(1/20) + (1/30) + (1/24)] = 15/120 = 1/8

⇒ (1/R) + (1/K) + (1/M) = 1/16

Work done by Raja, kundan and Mahesh in one day = (1/R) + (1/K) + (1/M) = 1/16

Alternate solution:

Concept used:

Work done = time × efficiency

Calculation:

⇒ Sum of efficiencies of three cases, Raja and Kundan +Kundan and Mahesh + Mahesh and Raja = 15

⇒ 2 × (Mahesh and Raja and Kundan) = 15

⇒ Sum of efficiency of Mahesh and Raja and Kundan = 15/2

⇒ Time in which all will finish the work together = total work/efficiency = 120/(15/2)

⇒Time in which all will finish the work together = 16 days

∴ They will complete the wall in 16 days while working together

Let the distance between A and B be 3x km

Distance covered with speed 4km/hr = (1/3) × 3x = x

Time taken = distance/speed = x/4

Remaining distance = 3x - x = 2x

Time taken = distance/speed = 2x/5

Total time = (x/4) + (2x/5) = 13x/20

According to the question,

⇒ 13x/20 = 26

⇒ x = 40

∴ Total Distance = 3x = 3 × 40 = 120 km

Total numbers of viewers of movie G and F in the starting = 300 + 200 = 500

Viewers who left before intermission = 30% of 500 = 150

∴ Viewers who are watching the movie post intermission = 500 - 150 = 350

Viewers of movie D = 220

Viewers of movie F = 300

∴ Required % = {(300 - 220)/300} × 100 = 26.6%

Viewers of movie A = 160

Viewers of movie B = 300

∴ Required ratio = 300 ∶ 160 = 15 ∶ 8

According to the graph, C has the least number of viewers ie. 100

Area of Rhombus = (1/2) × d₁ × d₂

Where d₁ and d₂ is length of diagonals

So, 54 = (1/2) × 9 × d₂

⇒ d₂ = 12 cm

∴ Length of other diagonal = 12 cm

∴ Area of circle = π × radius² = (22/7) × (10.5)² = 346.5 cm²

Given,

Diameter = 42 cm

Radius (r) = diameter/2 = 42/2 = 21 cm

∴ Total surface area = 3πr² = 3 × (22/7) × (21)² = 4158 cm²

∴ (1/√3) + sin45° = (1/√3) + (1/√2) = (√3 + √2)/√6

Given,

sin X = 4/5

⇒ YZ/XZ = 4/5

⇒ YZ = 4k and XZ = 5k

Now, by Pythagoras theorem in triangle XYZ

⇒ XY² + YZ² = XZ²

⇒ (6)² + (4k)² = (5k)²

⇒ 36 + 16k² = 25k²

⇒ 9k² = 36

⇒ k² = 4

⇒ k = 2

Now,

∴ YZ = 4k = 4 × 2 = 8 cm

Shortcut TrickIt has been given that the triangle is right-angled and the ratio of perpendicular and hypotenuse is 4 : 5. The question has the length of perpendicular which will be the factor of 4. Therefore, 8 will be the required answer.

The correct answer is All options are correct.

Key Points

• Market imperfection or an imperfect market stands for any economic market that does not meet the standards of an ideally perfect competitive market.
• It arises when an individual seller or buyer influences production and prices or when the perfect and accurate information is not known to all marketers.
• Market imperfections of a country are reflected in things such as price rigidity, factor immobility, and lack of specialization.

Important PointsThe Results of an Imperfect Market 

• Very little is produced.
• The prices are said to be high and are charged for more than what is produced.
• There is a huge loss to the economy of the country.
• The company said there on individual prices and fight for market share.
• This makes new companies harder to challenge the already existing ones.

The correct answer is Statutory body.

Key Points

• SEBI is the Securities and Exchange Board of India.
• It is the regulator of the Indian securities market and was established in the year 1988.
• It was given statutory powers through the SEBI Act, 1992 on 30 January 1992, thus making it a statutory body.
• The main functions of SEBI are
• It fulfills the requirement of the following three categories
• Issuers - It provides a marketplace for augmenting finance property for issuers.
• Investors - It ensures the safety and supply of accurate information on the financial market
• Intermediaries - It enables a competitive professional market for intermediaries.

Additional Information

The correct answer is the Eighth century.

Key Points

• Brahmadeya or the practice of donating land in the form of a whole village or a single plot to a Brahmin was prevalent till the early medieval period, i.e. until the 8th century.
• The practice was first started in South India in the 3-4th century AD.

The correct answer is Braj.

Key Points

• Surdas:-
• He was a 16th-century devotional singer and poet who was blind.
• He was known for his work written in praise of Krishna mainly in the language Braj, which is one of the two literary dialects of Hindi apart from Awadhi.
• He composed a hundred thousand songs in his magnum opus the Sur-Sagar (ocean of melody).
• He is considered a saguna bhakti poet and so also known as Sant Surdas which means the servant of melody.
• Braj:-
• ​it is spoken in the Agra, and Mathura districts of western Uttar Pradesh.

Additional Information

• Khariboli:-
• Kauravi, also known as Khariboli or the Delhi dialect, is Central Indo-Aryan dialect spoken in and around Delhi.
• The term "Khariboli" has been used for all literary categories of the Hindi languages including Braj Bhasa, Dehlavi as well as Awadhi.
• Awadhi:-
• It is spoken in the Awadh region of present-day Uttar Pradesh, India.
• Bundeli:-
• It is spoken in the Bundelkhand region of central India.

The correct answer is Aphelion.

Key Points

• Aphelion:-
• It is the maximum distance from the Sun in a planet in its orbit. It is the point where the celestial body in the orbit is farthest from the sun..
• When the earth reaches aphelion, the sun appears slightly smaller in the sky at any other time of year.
• The earth reaches aphelion only once a year.
• It happens near of 4th of July.

Additional Information

• Perihelion:-
• It is the point in the orbit where the celestial body is closest to the sun.
• Apogee:-​
• The point of the orbit where the satellite is farthest from the Earth is called apogee.
• The maximum distance of the moon from the earth (4,06,000 km) is called apogee.
• Perigee:-
• The minimum distance of the moon from the earth (3,64,000) is called perigee.

The correct answer is Odisha.

Key Points

• Tropic of Cancer
• It is an imaginary line that is at an angle of 23.50 degrees.
• It is North of the Equator, which passes through the middle of India.
• The Tropic of Cancer passes through 17 countries and India is one of them.
• Tropic of Cancer: Mexico, Algeria, Niger, Libya, Egypt, Saudi Arabia, India, China, Oman, Bangladesh, Burma, and Taiwan. Hence, Option 3 is correct.
• The Tropic of Cancer passes through eight states in India:
• Gujarat (Jasdan)
• Rajasthan (Kalinjarh)
• Madhya Pradesh (Shajapur)
• Chhattisgarh (Sonhat)
• Jharkhand (Lohardaga)
• West Bengal (Krishnanagar)
• Tripura (Udaipur)
• Mizoram (Champhai)
• Tropic of Cancer crosses the Mahi River twice, first in Madhya Pradesh from where it flows towards Rajasthan and enters Gujarat where it cuts for the second time.

Additional Information

• The Equator passes through Ecuador, Colombia, Brazil, Congo, Uganda, Kenya, Somalia, Maldives, and Indonesia.
• Tropic of Capricorn: Chile, Argentina, Paraguay, Brazil, Botswana, Madagascar, and Australia.
• GMT runes through the United Kingdom, France, Spain, Algeria, Mali, and Ghana in Africa
• IST runs through UP, MP, Orissa, and Chhattisgarh

The correct answer is Siddhartha.

Key Points

• Gautam Buddha:-
• He was born as Siddhartha Gautama in circa 563 BCE, in a royal family in Lumbini which is situated near the Indo-Nepal border.
• His family belonged to the Sakya clan which ruled from Kapilvastu, Lumbini.
• Buddha's father was Suddhodana, chief of the Shakya tribe that lived in ancient Kapilavast
• At the age of 29, Gautama left home and rejected his life of riches and embraced a lifestyle of asceticism or extreme self-discipline.
• After 49 consecutive days of meditation, Gautam attained Bodhi (enlightenment) under a pipal tree at Bodhgaya, Bihar.
• Buddha gave his first sermon in the village of Sarnath, near Varanasi in Uttar Pradesh. This event is known as Dharma Chakra Pravartana (turning of the wheel of law).
• He died at the age of 80 in 483 BCE at Kushinagar, Uttar Pradesh. The event is known as Mahaparinibban or Mahaparinirvana.
• He is believed to be the eighth of the ten incarnations of Lord Vishnu (Dashavatar).

Additional Information

• Mahendra:-
• ​He was the son of Emperor Asoka.
• He is responsible for spreading Buddhism in Sri Lanka.

The correct answer is China.

Key Points

• China launched the world's largest amphibious aircraft on December 24, 2017.
• China’s home-grown AG600 can stay airborne for 12 hours, is capable of carrying 50 people, is powered by 4 turboprop engines, and has a wingspan 38.8 m.
• The aircraft has military applications and will also be used for marine rescue and firefighting.

Important PointsChina-

• Capital - Beijing
• Currency- Chinese Yuan

Additional InformationUSA (United States of America)

• Capital - Washington, D.C.
• Currency- US dollar

Japan-

• Capital - Tokyo
• Currency- Japanese Yen

Germany-

• Capital - Berlin
• Currency- Euro

The correct answer is Vyas Samman.

Key Points

• Vyas Samman 
• The Vyas Samman is a literary award first awarded in 1991.
• This is awarded by K.K. Birla Foundation annually.
• It includes a payout of 4 Lakhs from the recent 2019 distribution with plaque and citation.
• In 1991, this was awarded to Ram Vilas  Sharma for his literary work "Bharat ke Pracheen Bhasha aur Hindi".

Additional Information

The correct answer is Democratic Socialist Republic of Sri Lanka.

Key Points

• In 1978 a new Constitution was adopted in Sri Lanka creating the 'Democratic Socialist Republic of Sri Lanka'.
• In 1833, the British took complete control of the island of Ceylon.
• On 16 May 1972, Ceylon became the Republic of Sri Lanka.
• The new constitution was adopted, creating the Democratic Socialist Republic of Sri Lanka on 31 August 1978.
• In 1987, the 13th amendment was passed with the creation of provincial councils in Tamil areas and more regional autonomy.

Additional Information

• Nylon is a man-made fibre.
• It is a tough, elastic, lightweight synthetic polymer which has a protein-like chemical structure and can be produced as moulded objects, filaments, or sheets.
• It is used in machine parts, cookware, nets, ropes, parachutes, and more.
• Cotton is obtained from the cotton plant, wool from sheep, and silk from the silkworm.

The correct answer is It is a non-metal.

Key Points

• Sodium:-
• It reacts vigorously with oxygen and water.
• A lot of heat and light is generated when sodium reacts with water and oxygen
• It is stored in kerosene to prevent it from coming in contact with moisture and oxygen.
• Sodium is a member of the alkali metal family with lithium and potassium.
• Sodium has a strong metallic luster and in color is very analogous to silver.
• It is soft at common temperatures that it may be formed into leaves by the pressure of the fingers.
• Sodium compounds soon tarnish on exposure to the air, though less rapidly than potassium.
• Sodium is instantly oxidized by water, and hydrogen gas is in temporary union with a little sodium being disengaged.
• We get sodium chloride (NaCl) when sodium bonds with chlorine (Cl). It is also used as a salt in fertilizers.
• Sodium is a reactive, soft metal with a low melting point and most important of all alkaline metal from the commercial point of view. Sodium reacts rapidly with water, snow, and ice to produce sodium hydroxide.

The correct answer is the Election Commission of India

Key Points 

• The Election Commission of India:-
• It is a Constitutional Body created under Article 324 of the Constitution of India.
• It is an autonomous constitutional authority of India which is responsible for administering election processes in India
• Article 324 of the Indian constitution defined the Election commission of India.
• **The election commission of India **conducts the election for Lok Sabha, Rajya Sabha, State legislative assemblies, President and vice-president.
• The office of the election commission of India was formed on 25th January 1950.
• **This day is also celebrated as **"National voters day".
• The removal of the chief election commissioner is the same as the judge of the Supreme court of India.
• The term of chief election commissioner is of six years or up to the age of 65 years.
• **The election commission of India is responsible to **allocate the symbol to the political parties.
• The election commission gives recognition to the National parties, State parties, and regional parties.
• **The present chief election commissioner of India is **Shri Sushil Chandra​. (July 2021).​

Additional Information 

The correct answer is 74th Constitutional Amendment Act

Key Points

74th Constitutional Amendment:-

• The 74th Constitutional amendment act 1992 deals with the provisions related to the Municipalities.
• Part IXA (Schedule 12) of the Constitution of India deals with the Municipalities.
• The governance of urban areas by the people through the representatives elected by them signifies the term "Urban Local Government" in India.
• The jurisdiction of the Urban Local Government is limited to specific Urban areas demarcated for this purpose by the State Government.
• The 74th Constitutional Amendment Act, 1992 Constitutionalized the system of Urban Local Government.
• The 74th Constitutional Amendment Act, 1992 contains 18 subjects. It gives Municipalities Constitutional status and brings them under Judicial review.
• There are eight types of Urban Local Bodies in India:
• Special Purpose agency
• Township
• Municipality
• Notified area committee
• Municipal Corporation
• Town area committee
• Cantonment Board

Additional Information

The correct answer is I and III.

Explanation:

• Photosynthesis fulfils the carbon and energy requirements of autotrophic organisms.
• Photosynthesis is a process through which plants and other organisms convert light energy into chemical energy to obtain food.
• Autotrophic organisms are those which are capable of synthesizing their own food from inorganic substances with the help of chemical energy or light.
• Certain bacteria, algae, and green plants are autotrophs.

The correct answer is

 In Aerobic respiration pyruvate is broken down into ethanol and carbon dioxide - In Anaerobic respiration, pyruvate is broken down into carbon dioxide and water

Explanation:

• Chemical equation of aerobic respiration- C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O (glucose + oxygen -> carbon dioxide + water)
• In Aerobic respiration, pyruvate is broken down into carbon dioxide and water.
• Chemical equation of anaerobic respiration- C₆H₁₂O₆ = 2C₂H₅OH + 2CO₂ + 2ATP (Glucose = (ethanol or lactic acid) + carbon dioxide + energy)
• Anaerobic respiration pyruvate is broken down into ethanol and carbon dioxide.

The correct answer is 16320.

Key Points

• Pradhan Mantri Sahaj Bijli Har Ghar Yojana
• The government of India systematically designed and launched a scheme Pradhan Mantri Sahaj Bijli Har Ghar Yojana – SAUBHAGYA, in October 2017 focusing on last-mile connectivity and electricity connections to all the unelectrified households in the country.
• SAUBHAGYA scheme is one of the world’s biggest Universal electrification initiatives with collaborative and concerted efforts of Centre and States.
• Saubhagya Scheme aims to achieve universal household electrification in all parts of the country.
• The scheme primarily benefits rural areas, which have a vast majority of households without power connections.
• The beneficiaries for free electricity connection would be identified using Socio-Economic and Caste Census (SECC) 2011 data.
• It is a concurrent program to Deen Dayal Upadhyaya Gram Jyoti Yojana.
• The **total outlay pegged for ‘Pradhan Mantri Sahaj Bijli Har Ghar Yojna’ is Rs. 16,320 crore.**​

The correct answer is Monkey.

Explanation:

• Zhong Zhong and Hua Hua are a pair of identical crab-eating macaques that were produced by scientists from the Institute of Neuroscience of the Chinese Academy of Sciences in Shanghai on 5th Dec 2017.
• They were created through somatic cell nuclear transfer.
• The same cloning technique that produced Dolly the sheep in 1996,
• Scientists from China successfully cloned monkeys for the first time in January 2018.
• Two long-tailed, and identical macaques named Hua Hua and Zhong Zhong were born to become the first primates to be cloned from a non-embryonic cell.

The correct answer is 7.10%.

Key Points

• Gross domestic product (GDP):-
• It is the standard monetary measure of the value-added created through the production of goods and services in a country during a certain period. Hence, statements (a), (b), (c) are incorrect.
• As such, it also measures the income earned from that production or the total amount spent on final goods and services (fewer imports).
• While GDP is the single most important indicator to capture economic activity, it falls short of providing a suitable measure of people's material well-being for which alternative indicators may be more appropriate.
• This indicator is based on nominal GDP (also called GDP at current prices or GDP in value) and is available in different measures: US dollars and US dollars per capita (current PPPs).
• The Gross Domestic Product (GDP) for India in 2016-17 Financial Year was 7.10%.

Additional Information

• Gross national product (GNP):-
• It is an estimate of the total value of all the final products and services turned out in a given period by the means of production owned by a country's residents.
• GNP is commonly calculated by taking the sum of personal consumption expenditures, private domestic investment, government expenditure, net exports, and any income earned by residents from overseas investments, minus income earned within the domestic economy by foreign residents.
• Net exports represent the difference between what a country exports minus any imports of goods and services.

The correct answer is Accident.

Key Points

• On 10 April 2017, Lok Sabha Passed the Motor Vehicles Act (Amendment) Bill, 2016.
• Under the new provisions, a fund named ‘MVAF’ was constituted, which stands for Motor Vehicle Accident Fund.
• The Bill amends the Motor Vehicles Act, of 1988.
• The new Bill takes into account computerisation of licensing authorities, third-party insurance, taxi aggregators, and more.
• The Bill also provides for a National Road Safety Board.

CONCEPT:

• Equation of motion: The mathematical equations used to find the final velocity, displacements, time, etc of a moving object without considering force acting on it are called equations of motion.
• These equations are only valid when the acceleration of the body is constant and they move in a straight line.

There are three equations of motion:

V = u + at

V2 = u2 + 2 a S

${\text{S}} = {\text{ut}} + \frac{1}{2}{\text{a}}{{\text{t}}^2}$

Where, V = final velocity, u = initial velocity, s = distance traveled by the body under motion, a = acceleration of body under motion, and t = time taken by the body under motion.

CALCULATION:

Given that:

Final velocity, v = 30 m/s; Initial velocity, u = 25 m/s; Time, t = 10s

Using v = u + at

a = (v - u)/t

a = (30 - 25)/10

a = 5/10

Acceleration (a) = 0.5 m/s²

Hence option 4 is correct.